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Finding the Fourth Proportional to 2,083.46, 3,125.66 and 696.87

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Solution

The fourth proportional to 2,083.46, 3,125.66 and 696.87 is: 1,045.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.46 : 3,125.66 = 696.87 : x
  2. Step 2: Convert to fraction form
    2,083.46/3,125.66 = 696.87/x
  3. Step 3: Cross multiply
    2,083.46x = 3,125.66 × 696.87
  4. Step 4: Simplify right side
    2,083.46x = 2,178,175.20
  5. Step 5: Solve for x
    x = 2,178,175.20/2,083.46
  6. Step 6: Final answer
    x = 1,045.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.